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Article: Wave-field interaction with complex structures using equivalence principle algorithm

TitleWave-field interaction with complex structures using equivalence principle algorithm
Authors
KeywordsDomain Decomposition
Equivalence Principle
Integral Equation
Integral Equation Solvers
Junction Basis
Method Of Moments (Mom)
Tap Basis
Issue Date2007
Citation
Ieee Transactions On Antennas And Propagation, 2007, v. 55 n. 1, p. 130-138 How to Cite?
AbstractA domain decomposition scheme based on the equivalence principle, similar to Huygens' principle, for integral equation solvers and the method of moments is introduced. The equivalence principle allows the replacement of unknown currents distributed in a volume in space by equivalence currents residing on the surface that bounds the volume. It also allows the dissociation of the solution of one region from that of another region. In this manner, problems of high complexity can be encapsulated by surfaces of simpler shapes using less unknowns. It can aid in parallel algorithms, reusability of solutions, as well as improving the condition number of a matrix system when disparate mesh or adaptive mesh are needed. The challenge arises when an equivalence surface intercepts a current-carrying conductor, because the breakup of the current into separate pieces gives rise to charge singularity. A junction basis can be used to mitigate this singularity. However, a better solution is to introduce a tap basis to model the current that intercepts with the equivalence surfaces. Using this scheme, the current continuity is conserved and the singularity of the charges is avoided. The solution is shown to be accurate. © 2007 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/182730
ISSN
2015 Impact Factor: 2.053
2015 SCImago Journal Rankings: 2.130
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLi, MKen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:37Z-
dc.date.available2013-05-02T05:16:37Z-
dc.date.issued2007en_US
dc.identifier.citationIeee Transactions On Antennas And Propagation, 2007, v. 55 n. 1, p. 130-138en_US
dc.identifier.issn0018-926Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/182730-
dc.description.abstractA domain decomposition scheme based on the equivalence principle, similar to Huygens' principle, for integral equation solvers and the method of moments is introduced. The equivalence principle allows the replacement of unknown currents distributed in a volume in space by equivalence currents residing on the surface that bounds the volume. It also allows the dissociation of the solution of one region from that of another region. In this manner, problems of high complexity can be encapsulated by surfaces of simpler shapes using less unknowns. It can aid in parallel algorithms, reusability of solutions, as well as improving the condition number of a matrix system when disparate mesh or adaptive mesh are needed. The challenge arises when an equivalence surface intercepts a current-carrying conductor, because the breakup of the current into separate pieces gives rise to charge singularity. A junction basis can be used to mitigate this singularity. However, a better solution is to introduce a tap basis to model the current that intercepts with the equivalence surfaces. Using this scheme, the current continuity is conserved and the singularity of the charges is avoided. The solution is shown to be accurate. © 2007 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Antennas and Propagationen_US
dc.subjectDomain Decompositionen_US
dc.subjectEquivalence Principleen_US
dc.subjectIntegral Equationen_US
dc.subjectIntegral Equation Solversen_US
dc.subjectJunction Basisen_US
dc.subjectMethod Of Moments (Mom)en_US
dc.subjectTap Basisen_US
dc.titleWave-field interaction with complex structures using equivalence principle algorithmen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/TAP.2006.888453en_US
dc.identifier.scopuseid_2-s2.0-33846909527en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33846909527&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume55en_US
dc.identifier.issue1en_US
dc.identifier.spage130en_US
dc.identifier.epage138en_US
dc.identifier.isiWOS:000243547300018-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLi, MK=7405263889en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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